Pith Number

pith:PN2NQIJS

pith:2011:PN2NQIJSWTC2EBRM5BCPMPBG3J

not attested not anchored not stored refs pending

Degenerate Cohomological Hall algebra and quantized Donaldson-Thomas invariants for m-loop quivers

Markus Reineke

arxiv:1102.3978 v1 · 2011-02-19 · math.RT · math.AG

Open paper page JSON Open Graph Bundle Merged state Verified badge What is a Pith Number?

Add to your LaTeX paper

\usepackage{pith}
\pithnumber{PN2NQIJSWTC2EBRM5BCPMPBG3J}

Prints a linked badge after your title and injects PDF metadata. Compiles on arXiv. Learn more · Embed verified badge

Record completeness

1 Bitcoin timestamp

2 Internet Archive

3 Author claim open · sign in to claim

4 Citations open

5 Replications open

✓ Portable graph bundle live · download bundle · merged state

The bundle contains the canonical record plus signed events. A mirror can host it anywhere and recompute the same current state with the deterministic merge algorithm.

Receipt and verification

First computed	2026-05-18T04:28:19.357277Z
Builder	pith-number-builder-2026-05-17-v1
Signature	Pith Ed25519 (`pith-v1-2026-05`) · public key
Schema	pith-number/v1.0

Canonical hash

7b74d82132b4c5a2062ce844f63c26da7c3a7a2867191dd5a40e3d0166b510a4

Aliases

arxiv: 1102.3978 · arxiv_version: 1102.3978v1 · doi: 10.48550/arxiv.1102.3978 · pith_short_12: PN2NQIJSWTC2 · pith_short_16: PN2NQIJSWTC2EBRM · pith_short_8: PN2NQIJS

Agent API

Resolver JSON Graph JSON Events JSON Schema Signing key

Verify this Pith Number yourself

curl -sH 'Accept: application/ld+json' https://pith.science/pith/PN2NQIJSWTC2EBRM5BCPMPBG3J \
  | jq -c '.canonical_record' \
  | python3 -c "import sys,json,hashlib; b=json.dumps(json.loads(sys.stdin.read()), sort_keys=True, separators=(',',':'), ensure_ascii=False).encode(); print(hashlib.sha256(b).hexdigest())"
# expect: 7b74d82132b4c5a2062ce844f63c26da7c3a7a2867191dd5a40e3d0166b510a4

Canonical record JSON

{
  "metadata": {
    "abstract_canon_sha256": "2b4fb412fd2d5560ea7d20529639aa21e88e26bb979348dc936d5536619e2e87",
    "cross_cats_sorted": [
      "math.AG"
    ],
    "license": "http://arxiv.org/licenses/nonexclusive-distrib/1.0/",
    "primary_cat": "math.RT",
    "submitted_at": "2011-02-19T08:21:57Z",
    "title_canon_sha256": "3ca9f1388505f8c97200a1a1b76fd5eae9b1bfb90dd93345ccd1c2a5bb4add46"
  },
  "schema_version": "1.0",
  "source": {
    "id": "1102.3978",
    "kind": "arxiv",
    "version": 1
  }
}